On statistical convergence of double sequences of closed sets

Sever Y., Talo Ö.

Filomat, vol.30, no.3, pp.533-539, 2016 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603533s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.533-539
  • Keywords: Double sequence of sets, Kuratowski convergence, Statistical convergence
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we introduce the concepts of statistical inner and statistical outer limits for double sequences of closed sets and give some formulas for finding these limits. Also, we give the Kuratowski statistical convergence of double sequences of sets by means of the statistical inner and statistical outer limits of a double sequence of closed sets.